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Simplifying 8.9 + 6.1 = 7.6z + -6.6z + -2.9 Combine like terms: 8.9 + 6.1 = 15 15 = 7.6z + -6.6z + -2.9 Reorder the terms: 15 = -2.9 + 7.6z + -6.6z Combine like terms: 7.6z + -6.6z = 1z 15 = -2.9 + 1z Solving 15 = -2.9 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 15 + -1z = -2.9 + 1z + -1z Combine like terms: 1z + -1z = 0 15 + -1z = -2.9 + 0 15 + -1z = -2.9 Add '-15' to each side of the equation. 15 + -15 + -1z = -2.9 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = -2.9 + -15 -1z = -2.9 + -15 Combine like terms: -2.9 + -15 = -17.9 -1z = -17.9 Divide each side by '-1'. z = 17.9 Simplifying z = 17.9
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